Scalar Multiplication of Matrices
Precalculus · Flashcards
PRECALCULUS · FLASHCARDS
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QUESTION
What is
1
A
1A
1
A
for any matrix
A
A
A
?
QUESTION
What is
−
3
2
[
2
−
4
−
6
8
]
-\frac{3}{2}\begin{bmatrix}2&-4\\-6&8\end{bmatrix}
−
2
3
[
2
−
6
−
4
8
]
?
QUESTION
State the distributive property: how are
k
(
A
+
B
)
k(A+B)
k
(
A
+
B
)
and
k
A
+
k
B
kA+kB
k
A
+
k
B
related?
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ANSWER
k
(
A
+
B
)
=
k
A
+
k
B
k(A+B)=kA+kB
k
(
A
+
B
)
=
k
A
+
k
B
. Scalar multiplication distributes over matrix addition.
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